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Books on the topic 'First Order Optimization Methods'

Author: Grafiati

Published: 5 June 2025

Last updated: 1 August 2025

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1

Lan, Guanghui. First-order and Stochastic Optimization Methods for Machine Learning. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-39568-1.

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2

G, Macaraeg Michelle, and Langley Research Center, eds. Preconditioning for first-order spectral discretizations. National Aeronautics and Space Administration, Langley Research Center, 1986.

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3

Subbotin, A. I. Generalized solutions of first-order PDEs: The dynamical optimization perspective. Birkhäuser, 1995.

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4

Pavarino, Luca F. Domain decomposition algorithms for first-order system least squares methods. Institute for Computer Applications in Science and Engineering, 1996.

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5

Pollock, John L. Technical methods in philosophy. Westview Press, 1990.

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6

David, Freed Alan, and Lewis Research Center, eds. Asymptotic integration algorithms for nonhomogeneous, nonlinear, first order, ordinary differential equations. Lewis Research Center, 1991.

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7

Haslach, Henry W. Nonlinear asymptotic integration algorithms for one-dimensional autonomous dissipative first-order ODEs. National Aeronautics and Space Administration, 1994.

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8

Fonseca, Carlos M. da. A panorama of mathematics: Pure and applied : Conference on Mathematics and Its Applications, November 14-17, 2014, Kuwait University, Safat, Kuwait. American Mathematical Society, 2016.

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9

Southeast Geometry Seminar (15th 2009 University of Alabama at Birmingham). Geometric analysis, mathematical relativity, and nonlinear partial differential equations: Southeast Geometry Seminars Emory University, Georgia Institute of Technology, University of Alabama, Birmingham, and the University of Tennessee, 2009-2011. Edited by Ghomi Mohammad 1969-. American Mathematical Society, 2013.

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10

Brodeckiy, Gennadiy, Denis Gusev, and Ivan Shidlovskiy. Multi-criteria choice in logistics research. INFRA-M Academic Publishing LLC., 2023. http://dx.doi.org/10.12737/1902741.

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Methods and models of optimization of solutions under many criteria are considered, which are conditioned by modern tasks to improve the operation of supply chains and logistics systems. Attention is paid to their specifics in relation to the tasks of organizing transport supply support. The anomalous phenomena of "blindness" to the indicators of individual particular criteria and the phenomena of "blocking" the choice of alternatives when optimizing such systems are analyzed. Special modifications of traditional selection criteria for optimization are presented, allowing to eliminate these ph

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11

1943-, Gossez J. P., and Bonheure Denis, eds. Nonlinear elliptic partial differential equations: Workshop in celebration of Jean-Pierre Gossez's 65th birthday, September 2-4, 2009, Université libre de Bruxelles, Belgium. American Mathematical Society, 2011.

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12

Chemodurov, Vladimir, and Ella Litvinova. Physical and mathematical modeling of building systems. INFRA-M Academic Publishing LLC., 2021. http://dx.doi.org/10.12737/1014191.

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Physical and mathematical modeling is widely used in scientific research. This is due to the fact that field experiments on real construction sites are often impossible to organize for various reasons. The material included in the textbook is a summary of the authors ' experience in the field of system analysis. In the first section, the regularities of physical modeling of the functioning of objects based on the similarity and dimension theorems are considered. The second section presents modern models and methods for choosing optimal solutions: linear, nonlinear, stochastic, and statistical.

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13

Leonovich, Sergey, and Vitaliy Gurinovich. Organizational and technological solutions for reconstruction and modernization of industrial housing construction enterprises. INFRA-M Academic Publishing LLC., 2025. https://doi.org/10.12737/2180374.

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The monograph presents organizational and technological solutions for the technical re-equipment of industrial housing construction enterprises, taking into account the totality of operating production conditions, the methodology for assigning reserves of production capacities for the production of a wide range of products and changing demand for products, and production optimization solutions. The organizational and technological solutions for the development of the production base of industrial housing construction based on flexible production technology are considered in detail. For the fir

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14

Litvinov, G. L. (Grigoriĭ Lazarevich), 1944- editor of compilation and Sergeev, S. N., 1981- editor of compilation, eds. Tropical and idempotent mathematics and applications: International Workshop on Tropical and Idempotent Mathematics, August 26-31, 2012, Independent University, Moscow, Russia. American Mathematical Society, 2014.

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15

Zhukova, Galina. Differential equations. INFRA-M Academic Publishing LLC., 2020. http://dx.doi.org/10.12737/1072180.

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The textbook presents the theory of ordinary differential equations constituting the subject of the discipline "Differential equations". Studied topics: differential equations of first, second, arbitrary order; differential equations; integration of initial and boundary value problems; stability theory of solutions of differential equations and systems. Introduced the basic concepts, proven properties of differential equations and systems. The article presents methods of analysis and solutions. We consider the applications of the obtained results, which are illustrated on a large number of spe

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16

Samoylyuk, Rostislav, Anton Grichanov, Irina Zolotova, Aleksey Starcev, Stanislav Gorelov, and Aleksey Frolov. The activities of the internal affairs bodies in the performance of operational and official tasks in special conditions of service. INFRA-M Academic Publishing LLC., 2025. https://doi.org/10.12737/2160986.

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The textbook contains materials detailing the actions of law enforcement officers when performing operational and official tasks in special conditions of duty, involving the risk of artillery fire, attacks by unmanned aircraft (drones), interaction during special operations and events, organization of work with maps and mobile applications for orientation on the ground, implementation of personal safety measures during small arms combat in urban environments, improvement of first aid methods. It is intended for bodies, organizations, and divisions under the jurisdiction of the Ministry of Inte

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17

Dubanov, Aleksandr. Computer simulation in pursuit problems. Publishing Center RIOR, 2022. http://dx.doi.org/10.29039/02102-6.

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Currently, computer simulation in virtual reality systems has a special status. In order for a computer model to meet the requirements of the tasks it models, it is necessary that the mathematical apparatus correctly describe the simulated phenomena. In this monograph, the simulation of pursuit problems is carried out. An adaptive modeling of the behavior of both pursuers and targets is carried out. An iterative calculation of the trajectories of the participants in the pursuit problem is carried out. The main attention is paid to the methods of pursuit and parallel rendezvous. The

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18

Andò, Valeria. Euripide, Ifigenia in Aulide. Fondazione Università Ca’ Foscari, 2021. http://dx.doi.org/10.30687/978-88-6969-513-1.

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This volume contains the first Italian critical edition with introduction, translation and commentary of Euripides’ Iphigenia in Aulis. The tragedy, exhibited posthumously in 405 BCE, stages the first mythical segment of the Trojan War, namely the sacrifice of Iphigenia, daughter of king Agamemnon, head of the Greek army, in order to propitiate the winds that should lead the navy to Troy. A tragedy of intrigue and unveiling, in which all the characters try to oppose the sacrifice, judged to be an impiety despite its sacred essence. It is therefore a tragedy without gods, in which characters of

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19

Beck, Amir. First-Order Methods in Optimization. Society for Industrial and Applied Mathematics, 2017.

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20

First Order Methods for Large-Scale Sparse Optimization. [publisher not identified], 2011.

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21

Lan, Guanghui. First-Order and Stochastic Optimization Methods for Machine Learning. Springer International Publishing AG, 2021.

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22

Lan, Guanghui. First-order and Stochastic Optimization Methods for Machine Learning. Springer, 2020.

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23

First-order and Stochastic Optimization Methods for Machine Learning. Springer Nature, 2020.

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24

Liu, Ji, and Ce Zhang. Distributed Learning Systems with First-Order Methods. Now Publishers, 2020.

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25

Li, Huan, Zhouchen Lin, and Cong Fang. Accelerated Optimization for Machine Learning: First-Order Algorithms. Springer Singapore Pte. Limited, 2021.

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26

Li, Huan, Zhouchen Lin, and Cong Fang. Accelerated Optimization for Machine Learning: First-Order Algorithms. Springer, 2020.

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27

Gupta, Nilama. A higher than first order algorithm for non-smooth constrained optimization. 1985.

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28

Subbotin, Andrei I. Generalized Solutions of First Order PDEs: The Dynamical Optimization Perspective. Birkhäuser, 2013.

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29

Subbotin, Andrei I. Generalized Solutions of First Order PDEs: The Dynamical Optimization Perspective. Birkhauser Verlag, 2013.

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30

Subbotin, Andrei I. Generalized Solutions of First Order Pdes: The Dynamical Optimization Perspective. Birkhäuser, 2013.

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31

Gaivoronski, Alexei A., Pavel S. Knopov, Vladimir I. Norkin, and Volodymyr A. Zaslavskyi. Stochastic Modeling and Optimization Methods for Critical Infrastructure Protection 2: Methods and Tools. ISTE-Wiley, 2025. https://doi.org/10.1115/1.862smo.

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Stochastic Modeling and Optimization Methods for Critical Infrastructure Protection is a thorough exploration of mathematical models and tools that are designed to strengthen critical infrastructures against threats – both natural and adversarial. Divided into two volumes, this first volume examines stochastic modeling across key economic sectors and their interconnections, while the second volume focuses on advanced mathematical methods for enhancing infrastructure protection. The book covers a range of themes, including risk assessment techniques that account for systemic interdependencies w

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32

Optimization of Objective Functions: Analytics. Numerical Methods. Design of Experiments. Fizmatlit Publisher, 2009.

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33

Subbotin, Andrei I. Generalized Solutions of First Order PDEs: The Dynamical Optimization Perspective (Systems & Control: Foundations & Applications). Birkhäuser Boston, 1994.

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34

Tlelo-Cuautle, Esteban, Luis Gerardo de la Fraga, Alejandro Silva-Juárez, and Omar Guillén Guillén-Fernández. Optimization of Integer/Fractional Order Chaotic Systems by Metaheuristics and Their Electronic Realization. Taylor & Francis Group, 2021.

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35

Tlelo-Cuautle, Esteban, Luis Gerardo de la Fraga, Omar Guillén-Fernández, and Alejandro Silva-Juárez. Optimization of Integer/fractional Order Chaotic Systems by Metaheuristics and Their Electronic Realization. Taylor & Francis Group, 2021.

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36

Optimization of Integer/Fractional Order Chaotic Systems by Metaheuristics and Their Electronic Realization. Taylor & Francis Group, 2021.

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37

Einstein, Andrew J. Radiation Considerations. Oxford University Press, 2015. http://dx.doi.org/10.1093/med/9780199392094.003.0034.

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Radiation considerations are an integral part of the practice of nuclear cardiac imaging. Concern regarding radiation has increased in recent years, reflected in statements by many professional societies, and likely attributable both to rapid growth in use of nuclear cardiology as well as high doses received by some nuclear cardiology patients. The fundamental principles of medical radiological protection are justification (ensuring that the right test is performed for the right patient at the right time), optimization (ensuring that the test is performed in the right manner), and dose limitat

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38

Makkai, M., and G. E. Reyes. First Order Categorical Logic: Model-Theoretical Methods in the Theory of Topoi and Related Categories. Springer London, Limited, 2006.

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39

Technical Methods in Philosophy. Taylor & Francis Group, 2019.

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40

Pollock, John. Technical Methods in Philosophy. Taylor & Francis Group, 2019.

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41

Pollock, John. Technical Methods In Philosophy. Routledge, 2021.

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42

Implementing Families of Implicit Chebyshev Methods with Exact Coefficients for the Numerical Integration of First- and Second-Order Differential Equations. Storming Media, 2002.

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43

Michel, Bierlaire. Optimization: Principles and Algorithms. EPFL Press, 2015. http://dx.doi.org/10.55430/6116v1mb.

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Every engineer and decision scientist must have a good mastery of optimization, an essential element in their toolkit. Thus, this articulate introductory textbook will certainly be welcomed by students and practicing professionals alike. Drawing from his vast teaching experience, the author skillfully leads the reader through a rich choice of topics in a coherent, fluid and tasteful blend of models and methods anchored on the underlying mathematical notions (only prerequisites: first year calculus and linear algebra). Topics range from the classics to some of the most recent developments in sm

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44

Prussing, John E. Second-Order Conditions. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198811084.003.0009.

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Second-order conditions for both parameter optimization problems and optimal control problems are analysed. A new conjugate point test procedure is discussed and illustrated. For an optimal control problem we will examine the second variation of the cost. The first variation subject to constraints provides first-order NC for a minimum of J. Second-order conditions provide SC a minimum.

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45

Bhat, P. Ishwara. Idea and Methods of Legal Research. Oxford University Press, 2020. http://dx.doi.org/10.1093/oso/9780199493098.001.0001.

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Legal research examines subject matter enshrouded in social circumstances in order to conceptualize theories and prepare a future course of action. This dynamic, inter-disciplinary, and labyrinthine character of legal research requires researchers to be fluid, eclectic, and analytical in their approach. Idea and Methods of Legal Research unearths how the thinking process is to be streamlined in research, how a theme is built on the basis of comprehensive and intensive study, and the paths through which notions of objectivity, feminism, ethics, and purposive character of knowledge are to be und

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46

Maltisovs, Matīss. Operating Methods of High Voltage Bistable Smart Glass Electronics Systems. RTU Press, 2022. http://dx.doi.org/10.7250/9789934227448.

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The Thesis focuses on Smectic-A (SmA) liquid crystals' (LCs) functional behaviour in order to understand if this will be the next generation product that could improve the daily life of the society. The optical properties of this liquid crystal are by far the best compared to the products available in the market, i.e., the light transmittance in transparent state is >85 % and in scatter state <2 %. Enabling the LC to be used for a variety of purposes, such as smart windows to scatter light on a sunny day or provide a sense of privacy in an open type office space. An in-depth literature r

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47

Cook, Byron, and Andreas Podelski. Verification, Model Checking, and Abstract Interpretation: 8th International Conference, VMCAI 2007, Nice, France, January 14-16, 2007, Proceedings. Springer London, Limited, 2007.

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48

Emerson, E. Allen, and Kedar S. Namjoshi. Verification, Model Checking, and Abstract Interpretation: 7th International Conference, VMCAI 2006, Charleston, SC, USA, January 8-10, 2006, Proceedings. Springer London, Limited, 2005.

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49

Edmunds, D. E., and W. D. Evans. Second-Order Differential Operators on Arbitrary Open Sets. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198812050.003.0007.

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In this chapter, three different methods are described for obtaining nice operators generated in some L2 space by second-order differential expressions and either Dirichlet or Neumann boundary conditions. The first is based on sesquilinear forms and the determination of m-sectorial operators by Kato’s First Representation Theorem; the second produces an m-accretive realization by a technique due to Kato using his distributional inequality; the third has its roots in the work of Levinson and Titchmarsh and gives operators T that are such that iT is m-accretive. The class of such operators inclu

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50

Bell, Gregory D. Logistics of the First Crusade. Lexington Books, 2019. https://doi.org/10.5040/9781666997880.

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In the late eleventh century, tens of thousands of people—knights and peasants, men and women, priests and lords—set out on a long and arduous journey to retake the holy city of Jerusalem. They traveled thousands of miles across difficult terrain and into hostile territory. How did they accomplish this remarkable task? How did they move through such an ever-changing and diverse landscape? Logistics of the First Crusade: Acquiring Supplies amid Chaos looks at the plans that they made and the methods they implemented to sustain themselves on this remarkable expedition in an attempt to understand

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